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5 votes
Fourth root of 0.0016 is a surd or not ?

1 Answer

4 votes
Answer: Fourth root of 0.0016 is not a surd number (it is rational number).

If we know
2^(4) = 16, exponentiate number 10 times less:


image

And now we can use:

0.0016 = 0.2^(4)

Now we take root from it:

\sqrt[4]{0.2^(4)}

We can use formula:

\sqrt[m]{a^(m)} = a

Replace values from formula:


image

And 0.2 is a rational number, so that number is not surd.

Hope this helps!
User Astrit Veliu
by
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